How to Calculate a Shear Stress

How to Calculate a Shear Stress thumbnail
The San Andreas Fault provides an example of shear stress.

Shear stress is the parallel force applied to an object. For example, two continental plates sliding past one another create shear stress. This type of stress is responsible for the earthquakes along the San Andreas Fault in California. Normal stress is applied in a perpendicular direction, directly against the object. In physics, the symbol for shear stress is tau, and it is measured in pascals, or newtons per square meter. The formula for shear stress is tau = F/A, where "F" is the force applied in newtons, and "A" is the cross-sectional area.

Things You'll Need

  • Ruler
  • Newton meter
  • Calculator
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Instructions

    • 1

      Measure the area of the side of the object that is in contact with the object applying force in meters. For example, if your objects are two boxes sliding past one another, measure the area of the side of the box. To find the area, measure the length and width of the side of the object with your ruler and then multiply these two values together.This will be your "A" in the shear stress equation.

    • 2

      Find the force applied to the object by using your newton meter. Newton meters are used to determine forces in newtons. The newton meter is a specifically calibrated spring in a cylindrical container with a hook on the free end of the spring. Affix your newton meter to your sliding object with the hook. Determine the force by reading the scale of your newton meter. This number will be your "F" in the shear stress equation.

    • 3

      Plug your F and A values into the shear stress equation: tau = F/A. Use your calculator to divide F by A. The resulting number will be your shear stress value in pascals.

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References

  • Photo Credit deep crack image by Xavier MARCHANT from Fotolia.com

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